Letxbe a random variable that represents blood glucose level after a 12-hour fast. Letybe a random variable representing blood glucose level1 hourafter drinking sugar water (after the12-hourfast). Units are in milligrams per10 milliliters(mg/10 ml).A random sample of eight adults gave the following information.

x=64.1;x²=526.19;y=89.9;y²=1050.07;xy=735.88

Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable resenting blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Ex = 64.1; Ex2 = 526.19; Ey = 89.9; Zy2 = 1050.07; Exy = 735.88 6.2 10.3 10.8 14.2 10.0 Part A (a) Find the equation of the least-squares line. (Round your answers to three decimal places.) y = x (b) Draw a scatter diagram for the data. Graph the least-squares line on your scatter diagram. Part B 14 14 12 12 C 10 b 10 8 6 8 10 12 14 O 10 12 14 14 12 12 C 10/ d 10 8 10 12 14 O 8 10 12 14 Part C (c) Find the sample correlation coefficient r and the sample coefficient of determination . (Round your answers to three decimal places.) r = Explain the meaning of 2 in the context of the application. (Round your answer to one decimal place.) % of the variance in blood glucose level ---Select-.. is explained by the model and the variance in blood glucose level -Select-. ---Select--- ---Select--- after drinking sugar water after drinking sugar water after a 12-hour fast after a 12-hour fast (d) If x = 9.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y =[ Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit J mg/10 ml Part D (e) Use level of significance 1% and test the claim that the population correlation coefficient p is not zero. (Round your test statistic to three decimal places.) t = Part E Find or estimate the P-value of the test statistic. O P-value > 0.500 O 0.250